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Author: Yumei Dang
Publisher: World Scientific
ISBN: 9810232969
Category : Mathematics
Languages : en
Pages : 163
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Book Description
Includes an interactive tour of the space of hypercomplex Julia sets and an educational mini-documentary introducing fractals and hypercomplex geometry.
Author: Yumei Dang
Publisher: World Scientific
ISBN: 9810232969
Category : Mathematics
Languages : en
Pages : 163
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Book Description
Includes an interactive tour of the space of hypercomplex Julia sets and an educational mini-documentary introducing fractals and hypercomplex geometry.
Author: Nils Tongring
Publisher: World Scientific
ISBN: 9812560211
Category : Science
Languages : en
Pages : 362
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Book Description
The central theme of this volume is the contemporary mathematics of geometry and physics, but the work also discusses the problem of the secondary structure of proteins, and an overview of arc complexes with proposed applications to macromolecular folding is given.?Woods Hole has played such a vital role in both my mathematical and personal life that it is a great pleasure to see the mathematical tradition of the 1964 meeting resurrected forty years later and, as this volume shows, resurrected with new vigor and hopefully on a regular basis. I therefore consider it a signal honor to have been asked to introduce this volume with a few reminiscences of that meeting forty years ago.? Introduction by R Bott (Wolf Prize Winner, 2000).
Author: Thomas Fiedler
Publisher: World Scientific
ISBN: 9811210314
Category : Mathematics
Languages : en
Pages : 259
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Book Description
Traditionally, knot theory deals with diagrams of knots and the search of invariants of diagrams which are invariant under the well known Reidemeister moves. This book goes one step beyond: it gives a method to construct invariants for one parameter famillies of diagrams and which are invariant under 'higher' Reidemeister moves. Luckily, knots in 3-space, often called classical knots, can be transformed into knots in the solid torus without loss of information. It turns out that knots in the solid torus have a particular rich topological moduli space. It contains many 'canonical' loops to which the invariants for one parameter families can be applied, in order to get a new sort of invariants for classical knots.
Author: Steven M. Rosen
Publisher: World Scientific
ISBN: 9812771735
Category : Philosophy
Languages : en
Pages : 291
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Book Description
This unique book offers an original way of thinking about two of the most significant problems confronting modern theoretical physics: the unification of the forces of nature and the evolution of the universe. In bringing out the inadequacies of the prevailing approach to these questions, the author demonstrates the need for more than just a new theory. The meanings of space and time themselves must be radically rethought, which requires a whole new philosophical foundation. To this end, the book turns to the phenomenological writings of Maurice Merleau-Ponty and Martin Heidegger. Their insights into space and time bring the natural world to life in a manner well-suited to the dynamic phenomena of contemporary physics.In aligning continental thought with problems in physics and cosmology, the book makes use of topology. Phenomenological intuitions about space and time are systematically fleshed out via an unconventional and innovative approach to this qualitative branch of mathematics. The author's pioneering work in topological phenomenology is applied to such topics as quantum gravity, cosmogony, symmetry, spin, vorticity, dimension theory, Kaluza-Klein and string theories, fermion-boson interrelatedness, hypernumbers, and the mind-matter interface.
Author: Serge? Petrovich Novikov
Publisher: World Scientific
ISBN: 9812836861
Category : Mathematics
Languages : en
Pages : 278
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Book Description
This is the second of a three-volume set collecting the original and now-classic works in topology written during the 1950s?1960s. The original methods and constructions from these works are properly documented for the first time in this book. No existing book covers the beautiful ensemble of methods created in topology starting from approximately 1950, that is, from Serre's celebrated ?singular homologies of fiber spaces.?
Author: Hilda Maria Colin Garcia
Publisher: World Scientific
ISBN: 981127116X
Category : Mathematics
Languages : en
Pages : 771
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Book Description
Dedicated to the memory of the late Professor Zbigniew Oziewicz from Universidad Nacional Autónoma de México, the book consists of papers on a wide variety of topics related to the work of Professor Oziewicz, which were presented at the special conference on Graph-Operads-Logic (GOL 2021), selected through peer review to promote his scientific legacy.Professor Oziewicz was a great enthusiast and supporter of category theory and its applications in physics, as well as in various areas of mathematics (topology, noncommutative geometry, etc.). In particular, he made significant contributions to the theory of Frobenius algebras, which now are becoming more important due to their connection with topological quantum field theories that are used in mathematical physics and in quantum topology. Professor Oziewicz was a great and very generous teacher, who immersed his students in the beautiful ideas of category theory as well as mathematical physics and computation. It was his idea to start a series of conferences under the title Graphs-Operads-Logic, most of them held in Mexico, with some of them in the USA, which were a great platform to discuss various ideas connected with category theory and its various applications, and to make friends with other scientists. Despite his passing, the GOL 2021 conference is included in this series to pay tribute to his many contributions to diverse areas of science.The book is laid out in twelve main topics where we can find relevant works from distinguished experts.
Author: J Scott Carter
Publisher: World Scientific
ISBN: 9814475734
Category : Mathematics
Languages : en
Pages : 398
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Book Description
This volume gathers the contributions from the international conference “Intelligence of Low Dimensional Topology 2006,” which took place in Hiroshima in 2006. The aim of this volume is to promote research in low dimensional topology with the focus on knot theory and related topics. The papers include comprehensive reviews and some latest results.
Author: Serguei Petrovich Novikov
Publisher: World Scientific
ISBN: 9814401323
Category : Mathematics
Languages : en
Pages : 590
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Book Description
The final volume of the three-volume edition, this book features classical papers on algebraic and differential topology published in the 1950s-1960s. The partition of these papers among the volumes is rather conditional. The original methods and constructions from these works are properly documented for the first time in this book. No existing book covers the beautiful ensemble of methods created in topology starting from approximately 1950. That is, from Serre's celebrated “singular homologies of fiber spaces.”
Author: Vincent Pegoraro
Publisher: CRC Press
ISBN: 1315395215
Category : Computers
Languages : en
Pages : 880
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Book Description
The Handbook of Digital Image Synthesis is the most up-to-date reference guide in the rapidly developing field of computer graphics. A wide range of topics, such as, applied mathematics, data structures, and optical perception and imaging help to provide a well-rounded view of the necessary formulas for computer rendering. In addition to this diverse approach, the presentation of the material is substantiated by numerous figures and computer-generated images. From basic principles to advanced theories, this book, provides the reader with a strong foundation of computer formulas and rendering through a step-by-step process. . Key Features: Provides unified coverage of the broad range of fundamental topics in rendering Gives in-depth treatment of the basic and advanced concepts in each topic Presents a step-by-step derivation of the theoretical results needed for implementation Illustrates the concepts with numerous figures and computer-generated images Illustrates the core algorithms using platform-independent pseudo-code
Author: Elsa Abbena
Publisher: CRC Press
ISBN: 142001031X
Category : Mathematics
Languages : en
Pages : 1011
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Book Description
Presenting theory while using Mathematica in a complementary way, Modern Differential Geometry of Curves and Surfaces with Mathematica, the third edition of Alfred Gray’s famous textbook, covers how to define and compute standard geometric functions using Mathematica for constructing new curves and surfaces from existing ones. Since Gray’s death, authors Abbena and Salamon have stepped in to bring the book up to date. While maintaining Gray's intuitive approach, they reorganized the material to provide a clearer division between the text and the Mathematica code and added a Mathematica notebook as an appendix to each chapter. They also address important new topics, such as quaternions. The approach of this book is at times more computational than is usual for a book on the subject. For example, Brioshi’s formula for the Gaussian curvature in terms of the first fundamental form can be too complicated for use in hand calculations, but Mathematica handles it easily, either through computations or through graphing curvature. Another part of Mathematica that can be used effectively in differential geometry is its special function library, where nonstandard spaces of constant curvature can be defined in terms of elliptic functions and then plotted. Using the techniques described in this book, readers will understand concepts geometrically, plotting curves and surfaces on a monitor and then printing them. Containing more than 300 illustrations, the book demonstrates how to use Mathematica to plot many interesting curves and surfaces. Including as many topics of the classical differential geometry and surfaces as possible, it highlights important theorems with many examples. It includes 300 miniprograms for computing and plotting various geometric objects, alleviating the drudgery of computing things such as the curvature and torsion of a curve in space.
